GCF and LCM Calculator Logo

What is the Least Common Multiple of 30526 and 30544?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 30526 and 30544 is 466193072.

LCM(30526,30544) = 466193072

LCM Calculator and
and

Least Common Multiple of 30526 and 30544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30526 and 30544, than apply into the LCM equation.

GCF(30526,30544) = 2
LCM(30526,30544) = ( 30526 × 30544) / 2
LCM(30526,30544) = 932386144 / 2
LCM(30526,30544) = 466193072

Least Common Multiple (LCM) of 30526 and 30544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30526 and 30544. First we will calculate the prime factors of 30526 and 30544.

Prime Factorization of 30526

Prime factors of 30526 are 2, 15263. Prime factorization of 30526 in exponential form is:

30526 = 21 × 152631

Prime Factorization of 30544

Prime factors of 30544 are 2, 23, 83. Prime factorization of 30544 in exponential form is:

30544 = 24 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 30526 and 30544.

LCM(30526,30544) = 24 × 152631 × 231 × 831
LCM(30526,30544) = 466193072